{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Linear Virtual Element for Poisson Equation in 2D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This example is to show the rate of convergence of the linear virtual finite element approximation of the Poisson equation on the unit square:\n",
    "\n",
    "$$- \\Delta u = f \\; \\hbox{in } (0,1)^2$$\n",
    "\n",
    "for the following boundary conditions\n",
    "- Non-empty Dirichlet boundary condition: $u=g_D \\hbox{ on }\\Gamma_D, \\nabla u\\cdot n=g_N \\hbox{ on }\\Gamma_N.$\n",
    "\n",
    "\n",
    "**References**:\n",
    "- [Progamming of Linear Virtual Element Methods](http://www.math.uci.edu/~chenlong/226/vemCode.pdf)\n",
    "\n",
    "**Subroutines**:\n",
    "\n",
    "    - PoissonVEM\n",
    "    - squarePoissonVEM\n",
    "    \n",
    "The method is implemented in `PoissonVEM` subroutine and tested in `squarePoissonVEM`.   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Polygon Meshes\n",
    "\n",
    "The polygonal mesh we used is generated by [*PolyMesher*](https://paulino.ce.gatech.edu/software.html) in MATLAB. The output contains a matrix named `Node` which represents the coordinates of vertices and a cell array named `Element` of which each cell records the vertices of each element with a counter-clockwise order. \n",
    "\n",
    "Polygon meshes used in this example are saved in data folder: `E16` to `E20014`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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dFou8BKlJyEEigTEO37rV8wsMWaK3+8zeXiAc7p9PGwJaCrr75MkoF/Epik9R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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "load E64;\n",
    "showmeshpoly(Node,Element);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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fj40wccNUiWwiQQqsQ8IqwrsbVYSsvPHGG9GWSwKrw+2+Bmuhhql9z32A82Qm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\nSBQKhUJRBVRIFAqFQlEF/z8Ce9VCVfMu3AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "u = @(p)cos(pi*p(:,1)).*cos(pi*p(:,2))-1;\n",
    "uI = u(Node);\n",
    "showsolutionpoly(Node,Element,uI);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## P1 Linear Virtual Element\n",
    "\n",
    "Let $\\mathcal T_h$ be a collection of partitions of domain $\\Omega$ into polygonal elements without self-intersecting boundary. The linear VEM space $V_h(E)$ for a polygon $E \\in \\mathcal T_h$ is defined as:\n",
    "\\begin{equation*}\\label{VEMspace2}\n",
    "V_h(E) := \\{ v \\in H^1(E): \\Delta v|_E = 0, v|_{\\partial E} \\text{ is continuous and piecewise linear}  \\}.\n",
    "\\end{equation*}\n",
    "Namely restricted to boundary edges of a polygon, the function is the standard linear Lagrange element. The interior is defined by the harmonic extension. \n",
    "Since a piecewise linear function will be uniquely determined by its value on vertices, $\\dim V_h(E)=n_E$, where $n_E$ is the number of vertices of $E$. \n",
    "\n",
    "The global virtual element space is defined as \n",
    "$$\n",
    "V_h = \\{v_h \\in H^1(\\Omega): v_h|_E \\in V_h(E)\\ \\text{ for all}\\ E \\in \\mathcal T_h\\}.\n",
    "$$\n",
    "\n",
    "Let $\\mathcal N(\\mathcal T_h)$ be the set of vertices of mesh $\\mathcal T_h$ and $N = |\\mathcal N(\\mathcal T_h)|$ be the number of vertices. \n",
    "We define the operator $\\operatorname{dof}$ (degree of freedom) from $V_h$ to $\\mathbb{R}^N$ as $\\operatorname{dof}_i(v_h) = v_h(\\boldsymbol  x_i)$, for a vertex $\\boldsymbol  x_i\\in \\mathcal N(\\mathcal T_h), i = 1,\\ldots, N$. The canonical basis $\\{\\phi_1,\\cdots, \\phi_{N}\\}$ of $V_h$ is chosen satisfying $\\operatorname{dof}_i(\\phi_j) = \\delta_{ij},  i,j = 1, \\cdots, N$.\n",
    "\n",
    "A basis function $\\phi_i$  is like the classical hat function of linear FE defined on triangular meshes. The difference is: for FEM functions, inside the element it is a linear polynomial while the VEM function is defined by the harmonic extension and function values inside the element is not explicitly known. The basis does not need to be known explicitly and this is the reason for the term *virtual* in VEM."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Assembeling\n",
    "\n",
    "To compute the stiffness matrix  $\\mathbf {A}_{ij} = (\\nabla \\phi_j, \\nabla \\phi_i)$ in the Galerkin method, we need to know the basis functions. Instead, the local stiffness matrix of the virtual element method is split into two parts:\n",
    "\\begin{align}\n",
    "(\\mathbf {A}_h^E)_{ij}:= (\\nabla \\Pi^\\nabla \\phi_i, \\nabla\\Pi^\\nabla \\phi_j)_{E} + \\sum_{r=1}^{n_E}{\\operatorname{dof}}_{r}((I- \\Pi^\\nabla) \\phi_i) \\, {\\operatorname{dof}}_r((I- \\Pi^\\nabla)\\phi_j),\n",
    "\\label{eq:stiffmatrix1}\n",
    "\\end{align}\n",
    "\n",
    "The operator $\\Pi^\\nabla : V_h(E) \\rightarrow  \\mathbb{P}_1(E)$ is an $H^1$ projection to $\\mathbb{P}_1(E)$ space:\n",
    "\\begin{equation}\\label{eq:projection}\n",
    "(\\nabla \\Pi^\\nabla v_h, \\nabla p)_{E} = (\\nabla v_h, \\nabla p)_{E} \\quad \\text{ for all } p \\in \\mathbb{P}_1(E).\n",
    "\\end{equation}\n",
    "\n",
    "The matrix representation of the projection is\n",
    "$$ \\mathbf {\\Pi}^\\nabla \\mathbf  v = \\mathbf  G^{-1} \\mathbf  B \\mathbf  v,$$\n",
    "where we can chose the basis and the constraint to make $G = I$ and \n",
    "\\begin{align*}\n",
    "\\mathbf {B} := &\\begin{pmatrix}\n",
    "1/n_E  & 1/n_E  & \\cdots & 1/n_E\\\\\n",
    " (\\nabla m_2,\\nabla \\phi_1)_{E}&  (\\nabla m_2,\\nabla \\phi_2)_{E}& \\cdots & (\\nabla m_2,\\nabla \\phi_{n_E})_{E}\\\\\n",
    " (\\nabla m_3,\\nabla \\phi_1)_{E}&  (\\nabla m_3,\\nabla \\phi_2)_{E}& \\cdots & (\\nabla m_3,\\nabla \\phi_{n_E})_{E}\n",
    " \\end{pmatrix}.\n",
    "\\end{align*}\n",
    "\n",
    "The integral can be computed by integration by parts\n",
    "\\begin{align}\n",
    "(\\nabla m_{j},\\nabla \\phi_i)_{E} = \\int_{\\partial E}\\nabla m_{j} \\cdot \\mathbf  n \\, \\phi_i \\, {\\rm d} s = \\frac{1}{2h_E} (\\mathbf  n_e^{j-1} + \\mathbf  n_{e'}^{j-1}), \n",
    "\\label{eq:matrixb1}\n",
    "\\end{align}\n",
    "where $e$ and $e'$ are two edges containing the vertex $i$, the first $\\mathbf n$ is the unit outwards normal vector of $\\partial E$ and $\\mathbf {n}_e=(n_e^x,n_e^y)=(n_e^1,n_e^2)$ is the scaled normal vector by multiplying the edge length. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"../figures/VEMgradient.png\" width=\"40%\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to compute the stabilization term, introduce matrix $\\mathbf {D}_{n_E\\times 3}$\n",
    "\\begin{align*}\n",
    "\\mathbf {D}:= (dof_i(m_j)) = \n",
    "\\begin{pmatrix}\n",
    "1 & (x_1 - x_E)/h_E & (y_1 - y_E)/h_E\\\\\n",
    "1 &(x_2 - x_E)/h_E & (y_2 - y_E)/h_E \\\\\n",
    "1 &(x_3 - x_E)/h_E & (y_3 - y_E)/h_E \\\\\n",
    "1 &(x_4 - x_E)/h_E & (y_4 - y_E)/h_E \\\\\n",
    "1 &(x_5 - x_E)/h_E & (y_5 - y_E)/h_E \\\\\n",
    "\\cdots & \\cdots  & \\cdots \\\\\n",
    "1 & (x_{n_E} - x_E)/h_E & (y_{n_E} - y_E)/h_E \n",
    "\\end{pmatrix},\n",
    "\\end{align*}\n",
    "where $(x_i,y_i), i =1, \\cdots, n_E$ is the coordinate of vertex $\\mathbf  x_i$ of $E$. \n",
    "\n",
    "The matrix representation of the stabilization is\n",
    "\\begin{align*}\n",
    "(\\mathbf  I - \\mathbf  D\\mathbf  B)^{\\intercal}(\\mathbf  I - \\mathbf  D\\mathbf  B).\n",
    "\\end{align*}\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Right hand side\n",
    "\n",
    "For the right hand side vector $b_i$, we also use the inner product of d.o.f $f$ and $\\phi_i$ and approximate \n",
    "$$\n",
    "(f, \\phi_i ) \\approx \\sum_{E \\in {\\mathcal T_h}, \\mathbf  x_i \\in E}|E|f(\\mathbf  x_i)/n_E.\n",
    "$$ \n",
    "The area of a polygon can be computed by the Green's formulae\n",
    "$$\n",
    "|E| = \\frac{1}{2}\\left (\\int_{\\partial E}x{\\rm d} y - y{\\rm d} x \\right ) = \\frac{1}{2}\\sum_{i=1}^{n_E}( x_iy_{i+1} - y_ix_{i+1})\n",
    "$$\n",
    "assuming the boundary $\\partial E$ is oriented counter-clockwise. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Numerical Example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Table: CPU time\n",
      "  #Dof     Assemble     Solve   \n",
      "\n",
      " 0.087706   8.07e-03   6.12e-04\n",
      " 0.044108   6.09e-03   1.12e-03\n",
      " 0.022119   1.08e-02   4.70e-03\n",
      " 0.011065   3.02e-02   2.29e-02\n",
      "0.0055341   1.28e-01   9.76e-02\n",
      "\n",
      "Table: Error\n",
      "   Dof        NT    ||DuI-Du_h|| ||uI-u_h||_{max}\n",
      "\n",
      " 0.087706      64   7.32287e-02   2.80832e-02\n",
      " 0.044108     256   2.63733e-02   7.54620e-03\n",
      " 0.022119    1024   1.06655e-02   1.66407e-03\n",
      " 0.011065    4096   4.93804e-03   5.48253e-04\n",
      "0.0055341   20014   2.28291e-03   1.16791e-04\n",
      "\n"
     ]
    },
    {
     "data": {
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AQBQQkAAAQBRcKyBpNEQmM34xjHEju4W9qwQAAOLjWrXsrl2rjUMU56larU7YsqV5GwQA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\nZQoQj4KU+LzPF9mQF85SKo1hiXaMaHY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p09PS0saMGcM0ZRSALsJY77fKy8tHjRp1586d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\npNGAtH379kGDBj388MPslrCwMPogMDDQ09OTJkHQ4xQUFPD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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/To9aKbX3z0aGT4G8vj9tcvyiVp1cqsP2XFR8LEgAWcA7wDnAAYDTvrBa1kVR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RyGlq5bup4qFn3b3rBNiiLPshAeLWzqFVE0jZf5Yio17nYRAQEAlq4jGIGXZTWfNzodz7KwbCJx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\nB2LePgIaAByuRz7Tdkd9IpJS46uTt407nvH4c5XXXMeftZRcE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Ut/t1IZ2bULN8JLEuF5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ANONEQL2i0POsTidXrbqGYbRacRAo5bJSLkOaQpra/T5F0yzHYQ/TFhc4hLppGgBwouiapmea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\n7EVECDntXc+u181KpTo9fZqmmfnGBKe/HJiOa36HYRzDiNRuge9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   ],
   "source": [
    "squarePoissonVEM;"
   ]
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   "source": [
    "## Conclusion\n",
    "\n",
    "The optimal rate of convergence of the H1-norm (1st order)  of $\\|\\nabla (u_I - u_h)\\|$ and maximum-norm $\\| u_I - u_h\\|_{\\infty}$\n",
    "(2nd order) is observed. "
   ]
  }
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